How to find the average Hue (or other "loopback" value)?

Question

Mathematics

We analyze the color scheme of the pictures, and we need to take the average hue. The problem is that this hue is looped: 359° is followed by zero.
How to take the average of n in such a situation? We believe that n is large and it is unprofitable to store all the digits, we need some kind of "adder".

Answer 1

So far, this is the best way.
We pass to coordinates (x, y): x = cos(hue) sat, y = sin(hue) sat.
There you can get the average (x, y) and take atan2.